Principal \(2\)-blocks with wreathed defect groups up to splendid Morita equivalence

Shigeo Koshitani, Benjamin Sambale, Caroline Lassueur

Publication date: 5 November 2024

Published in: Annals of Representation Theory (Search for Journal in Brave)

Morita equivalence decomposition matrix principal block splendid Morita equivalence trivial source module Brauer indecomposability \(p\)-permutation module Scott module Puig's finiteness conjecture wreathed \(2\)-group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Module categories in associative algebras (16D90) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

Cites Work

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Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\).
The structure of blocks with a Klein four defect group.
Representations of Hecke algebras at roots of unity.
On 2-blocks with wreathed defect groups
Blocks of tame representation type and related algebras
Isomorphic blocks
Remarks on isomorphic blocks
Varieties for modules over a block of a finite group.
Extensions of nilpotent blocks
Source algebras of \(p\)-central group extensions
Decomposition numbers of \(\text{SU}(3,q^2)\)
Hermitian function fields, classical unitals, and representations of 3-dimensional unitary groups.
CHEVIE -- A system for computing and processing generic character tables
The Brauer indecomposability of Scott modules with wreathed 2-group vertices
Splendid Morita equivalences for principal blocks with generalised quaternion defect groups
Splendid Morita equivalences for principal 2-blocks with dihedral defect groups
Stable equivalences of Morita type for self-injective algebras and \(p\)-groups
Some applications of the theory of blocks of characters of finite groups. II
Character theory of finite groups with wreathed Sylow 2-subgroups
Block theory via stable and Rickard equivalences
Fusion systems on small \(p\)-groups.
Irreducible brauer characters of the 3-dimensional special unitary groups in non-defining characteristic^∗
The Irreducible Representations of the Finite General Linear Groups
The Block Theory of Finite Group Algebras
The Decomposition Matrices of GL_n (q ) for n ⩽ 10
Splendid Morita equivalences for principal blocks with semidihedral defect groups
The Character Theory of Finite Groups of Lie Type
Finite Groups with Quasi-Dihedral and Wreathed Sylow 2-Subgroups
The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
The Representations of GL(3,q), GL(4,q), PGL(3,q), and PGL(4,q)
On splendid derived and stable equivalences between blocks and finite groups
A tour of \(p\)-permutation modules and related classes of modules
Relative stable equivalences of Morita type for the principal blocks of finite groups and relative Brauer indecomposability

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